He's frequency-amplitude formulation for nonlinear oscillators with an irrational force
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Publication:979789
DOI10.1016/j.camwa.2009.03.041zbMath1189.65185OpenAlexW2004991181MaRDI QIDQ979789
Publication date: 28 June 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2009.03.041
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for ordinary differential equations (65L99)
Related Items (14)
Analytical approximate solutions for the generalized nonlinear oscillator ⋮ Analytical periodic solution to a generalized nonlinear oscillator: application of He's frequency-amplitude formulation ⋮ Parametric disorder effects on a subcritical stationary bifurcation under nonlinear gradient term ⋮ Approximate periodic solutions for the Helmholtz-Duffing equation ⋮ Exact time-integral inversion via Čebyšëv quintic approximations for nonlinear oscillators ⋮ He's frequency formulation for nonlinear oscillators using a golden mean location ⋮ An ancient Chinese mathematical algorithm and its application to nonlinear oscillators ⋮ Notes on a conservative nonlinear oscillator ⋮ Application of the modified frequency formulation to a nonlinear oscillator ⋮ Higher-order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approach ⋮ Application of extended homotopy analysis method to the two-degree-of-freedom coupled van der Pol-Duffing oscillator ⋮ Approximate solutions for nonlinear oscillation of a mass attached to a stretched elastic wire ⋮ Analysis of a nonlinear oscillator with discontinuity ⋮ Frequency analysis of strongly nonlinear generalized Duffing oscillators using he's frequency-amplitude formulation and He's energy balance method
Cites Work
- Application of He's variational iteration method to Helmholtz equation
- Variational approach to solitons of nonlinear dispersive \(K(m, n)\) equations
- Variational principles for coupled nonlinear Schrödinger equations
- Variational iteration method -- some recent results and new interpretations
- Homotopy perturbation method for bifurcation of nonlinear problems
- Application of variational iteration method to nonlinear differential equations of fractional order
- Application of homotopy perturbation method to nonlinear wave equations
- Construction of solitary solution and compacton-like solution by variational iteration method
- New applications of variational iteration method
- Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire
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